2013209137 has 2 divisors, whose sum is σ = 2013209138. Its totient is φ = 2013209136.

The previous prime is 2013209123. The next prime is 2013209147. The reversal of 2013209137 is 7319023102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1598720256 + 414488881 = 39984^2 + 20359^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013209137 - 2²³ = 2004820529 is a prime.

It is a super-2 number, since 2×2013209137² = 8106022058600569538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2013209147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006604568 + 1006604569.

It is an arithmetic number, because the mean of its divisors is an integer number (1006604569).

Almost surely, 2^2013209137 is an apocalyptic number.

It is an amenable number.

2013209137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013209137 is an equidigital number, since it uses as much as digits as its factorization.

2013209137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 2013209137 is about 44868.7991481831. The cubic root of 2013209137 is about 1262.6887106992.

The spelling of 2013209137 in words is "two billion, thirteen million, two hundred nine thousand, one hundred thirty-seven".